Final answer:
The water tank is leaking at a rate of 5 gallons per second, and the 7 cm diameter coin will fit through a 3-inch (7.62 cm) diameter hole.
Step-by-step explanation:
To convert the leakage rate of water from gallons per minute to gallons per second, we divide the rate by 60, since there are 60 seconds in a minute. Therefore, 300 gallons per minute divided by 60 seconds per minute equals 5 gallons per second.
Regarding the size of the coin compared to the hole, we need to convert the diameter of the hole from inches to centimeters to make a comparison. One inch is equivalent to 2.54 centimeters, so a hole that is 3 inches in diameter is 3 x 2.54 cm = 7.62 cm in diameter. Since the coin's diameter is 7 cm and the hole's diameter is 7.62 cm, the coin will fit through the hole as it is slightly smaller.The flow rate is a measure of how much fluid passes through a given point in a specific amount of time. To find the rate in gallons per second, we need to convert the given rate from gallons per minute to gallons per second. Since there are 60 seconds in a minute, we can divide the rate of 300 gallons per minute by 60 to get 5 gallons per second.